id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
bibechana-9308	Pahari, Narayan Prasad	On 2 - normed space valued paranormed null sequence space	2013	11	.pdf	application/pdf	5332	293	90	For the sufficiency of the condition, assume that supk uk < ∞. Let ξ – , η– ∈ c0 ( S, α–, u– , ||. , .|| ) and γ, ρ ∈ C. Then for each η ∈ S, we have ||αk ξk‚ η|| uk → 0 and ||αk ηk‚ η|| uk →0, as k → ∞. We now setting S = max ( 1,2L-1 ), then we have ||αk (γξk + ρηk)‚ η || uk = (|| γαk ξk‚ η || S || γ αk ξk‚ η || uk + S ||	cache/bibechana-9308.pdf	txt/bibechana-9308.txt